solve with full process. this is a question of parallel lines
Answers
(1). If 2 lines are parallel, the alternate angles (Z) formed by the intersection of a transversal are equal in magnitude. So, when we consider AB and CD, Angle ABC and BCD are equal (40). hence, AB and CD are parallel straight lines.
(2)In parallel straight lines, the allied angles (C,U) add up to 180. So CEF+ECD = 160+ 20 = 180. Therefore, EF and CD are parallel.
(3) extend EF so that it intersects BC at the point X. then angle CEX is 180-160 = 20. So CXE is 180-20-20 = 140. hence, bxe is 180- 140 = 40.Now note that bxe and ABX are alternate, and that they are also equal. since the alternate angles of parallel straight lines are equal, AB and XF are paralel, and since EF is part of XF, AB and EF are parallel.
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